Quantum optimal control

Pranav Singh

School of Mathematics, University of Bath

The various ingredients required for optimal control of physical systems are: (i) efficient numerical solvers that respect properties of the system, (ii) procedures for computation of derivatives, and (iii) optimal control routines that are fast and accurate. The physical systems of interest in this talk are quantum systems, which feature certain challenges unique to these systems. In this talk I will present some recent developments in (i) quantum circuits for approximating quantum dynamics, (ii) Lie algebraic techniques for computing analytic gradients and Hessians of numerical integrators, (iii) an adaptive optimal control procedure called QOALA, and discuss some surprising regularisation properties of certain well known optimisation techniques.